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Generalized passivity-based chaos synchronization

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Abstract

In this paper, a new passivity-based synchronization method for a general class of chaotic systems is proposed. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation studies for the Genesio-Tesi chaotic system and the Qi chaotic system are presented to demonstrate the effectiveness of the proposed scheme.

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Authors and Affiliations

  1. Faculty of the Division of Electronics and Control Engineering, Wonkwang University, 344-2 Shinyong-dong, Iksan, 570749, Korea

    C. K. Ahn

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  1. C. K. Ahn
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Correspondence to C. K. Ahn.

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Communicated by Li-qun CHEN

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Ahn, C.K. Generalized passivity-based chaos synchronization. Appl. Math. Mech.-Engl. Ed. 31, 1009–1018 (2010). https://doi.org/10.1007/s10483-010-1336-6

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  • DOI: https://doi.org/10.1007/s10483-010-1336-6

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2000 Mathematics Subject Classification

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